Final answer:
To convert 100 quads per year to watts per year per capita for the United States with a population of 328,200,000, the energy in joules is calculated and then divided by the seconds per year to find the power in watts, which is then divided by the population to find the per capita value, approximately 10,000 W per person.
Step-by-step explanation:
To convert 100 quads per year to watts per year per capita for a country with 328,200,000 people, we first need to understand the energy in joules that 100 quads represent. One quad is equivalent to 1.055 × 1018 joules. Therefore, 100 quads are 100 × 1.055 × 1018 joules or approximately 1.055 × 1020 joules per year.
Given that a year has about 3.16 × 107 seconds, we divide the total energy by the number of seconds in a year to obtain the power in watts:
1.055 × 1020 joules / 3.16 × 107 seconds = 3.34 × 1012 watts or 3.34 TW.
Now, to find per capita power usage, divide the total power by the population of 328,200,000:
3.34 × 1012 watts / 328,200,000 people = 10,177 watts per person, or approximately 10,000 W per person. This is closest to the provided multiple-choice options as option (d) 1.054 × 1012 W per capita.